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Finding the Fourth Proportional to 282.77, 424.05 and 100.31

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Solution

The fourth proportional to 282.77, 424.05 and 100.31 is: 150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.77 : 424.05 = 100.31 : x
  2. Step 2: Convert to fraction form
    282.77/424.05 = 100.31/x
  3. Step 3: Cross multiply
    282.77x = 424.05 × 100.31
  4. Step 4: Simplify right side
    282.77x = 42,536.46
  5. Step 5: Solve for x
    x = 42,536.46/282.77
  6. Step 6: Final answer
    x = 150.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.